Exam 3: Acceleration

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Two identical stones are dropped from rest and feel no air resistance as they fall.Stone A is dropped from height h,and stone B is dropped from height 2h.If stone A takes time t to reach the ground,stone B will take time

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A car starts from rest and accelerates with a constant acceleration of 1.00 m/s2 for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?

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A ball is thrown directly upward and experiences no air resistance.Which one of the following statements about its motion is correct?

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An airplane that is flying level needs to accelerate from a speed of 2.00 × 102 m/s to a speed of 2)40 × 102 m/s while it flies a distance of 1.20 km. What must be the acceleration of the plane?

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A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car. If the police car delays for 1.00 s before starting,what must be the magnitude of the constant acceleration of the police car to catch the speeding car after the police car travels a distance of 300 m?

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Two objects are thrown from the top of a tall building and experience no appreciable air resistance.One is thrown up,and the other is thrown down,both with the same initial speed.What are their speeds when they hit the street?

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An object is moving with constant non-zero acceleration along the +x-axis.A graph of the velocity in the x direction as a function of time for this object is

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On the earth,when an astronaut throws a 0.250-kg stone vertically upward,it returns to his hand a time T later.On planet X he finds that,under the same circumstances,the stone returns to his hand in 2T.In both cases,he throws the stone with the same initial velocity and it feels negligible air resistance.The acceleration due to gravity on planet X (in terms of g)is

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At the same moment from the top of a building 3.0 × 102 m tall,one rock is dropped and one is thrown downward with an initial velocity of 10 m/s.Both of them experience negligible air resistance.How much EARLIER does the thrown rock strike the ground?

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A child on a sled starts from rest at the top of a 15° slope.If the trip to the bottom takes 15.2 s,how long is the slope? Assume that frictional forces may be neglected.

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A ball rolls across a floor with an acceleration of 0.100 m/s2 in a direction opposite to its velocity. The ball has a velocity of 4.00 m/s after rolling a distance 6.00 m across the floor. What was the initial speed of the ball?

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A rocket takes off vertically from the launchpad with no initial velocity but a constant upward acceleration of 2.25 m/s2.At 15.4 s after blastoff,the engines fail completely so the only force on the rocket from then on is the pull of gravity. (a)What is the maximum height the rocket will reach above the launchpad? (b)How fast is the rocket moving at the instant before it crashes onto the launchpad? (c)How long after engine failure does it take for the rocket to crash onto the launchpad?

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The velocity of an object as a function of time is given by v(t)= 2.00 m/s + (3.00 m/s)t - (1.0 m/s2)t2. Determine the instantaneous acceleration of the object at time t = 5.00 s.

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A ball is projected upward at time t = 0.0 s,from a point on a roof 90 m above the ground.The ball rises,then falls and strikes the ground.The initial velocity of the ball is 36.2 m/s if air resistance is negligible.The time when the ball strikes the ground is closest to

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Two objects are dropped from a bridge,an interval of 1.0 s apart,and experience no appreciable air resistance.As time progresses,the DIFFERENCE in their speeds

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A dragster starts from rest and travels 1/4 mi in 6.70 s with constant acceleration.What is its velocity when it crosses the finish line?

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Which one of the following graphs could possibly represent the vertical position as a function of time for an object in free fall?

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If the acceleration of an object is negative,the object must be slowing down.

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A rock is dropped from the top of a vertical cliff and takes 3.00 s to reach the ground below the cliff. A second rock is thrown vertically from the cliff,and it takes this rock 2.00 s to reach the ground below the cliff from the time it is released. With what velocity was the second rock thrown,assuming no air resistance?

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The acceleration of an object as a function of time is given by a(t)= (3.00 m/s3)t,where t is in seconds. If the object has a velocity 1.00 m/s at time t = 1.00 s,what is the displacement of the object between time T = 2.00 s and time t = 4.00 s?

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